Accession Number : ADA330178

Title :   Working Forum on Manifold Method of Material Analysis, Volume 2. The Numerical Manifold Method and Simplex Integration

Descriptive Note : Final rept.

Corporate Author : ARMY ENGINEER WATERWAYS EXPERIMENT STATION VICKSBURG MS GEOTECHNICAL LAB

Personal Author(s) : Shi, Gen-Hua

PDF Url : ADA330178

Report Date : SEP 1997

Pagination or Media Count : 188

Abstract : Aiming at global analysis, the well known mathematical manifold is perhaps the most important subject of modern mathematics. Based upon mathematical manifold, this numerical manifold method is a newly developed general numerical method. This method computes the movements and deformations of structures or materials. The meshes of the numerical manifold method are finite covers. As the material domains, the finite covers overlapped each other and covered the entire material volume. On each cover, the manifold method defines an independent cover displacement function. The cover displacement functions on individual covers are connected to form a global displacement function on the entire material volume. The global displacement function are the weighted averages of local independent cover functions on the common part of several covers. Using the entire finite cover systems, continuous, jointed, or blocky materials can be computed in a mathematically consistent manner. For a manifold computation, the mathematical mesh and physical mesh are independent.

Descriptors :   *SIMPLEX METHOD, *MANIFOLDS(MATHEMATICS), GLOBAL, COMPUTATIONS, PHYSICAL PROPERTIES, MATERIALS, FINITE ELEMENT ANALYSIS, DEFORMATION, LINEAR PROGRAMMING, CONTINUUM MECHANICS, MATHEMATICAL PROGRAMMING, FUNCTIONAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES.

Subject Categories : Numerical Mathematics
      Operations Research
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE